Suppose that your boss must choose three employees in your office to attend a conference in Jamaica. Because all 29
of you want to go, he decides that the only fair way is to draw names out of a hat. What is the probability that you, Angela, and Patrick are chosen? Enter a fraction or round your answer to 4
decimal places, if necessary.
To calculate the probability that you, Angela, and Patrick are chosen out of the 29 employees, we need to find the total number of possible outcomes and the number of favorable outcomes.
Total number of possible outcomes = 29 employees choose 3 = 29C3 = 29! / (3!(29-3)!) = 29! / (3!26!) = 29*28*27 / 3*2*1 = 8,870
Number of favorable outcomes = 1 (since there is only one way for you, Angela, and Patrick to be chosen)
Probability = Number of favorable outcomes / Total number of possible outcomes
Probability = 1 / 8,870
Probability = 0.0001126
Therefore, the probability that you, Angela, and Patrick are chosen to attend the conference in Jamaica is approximately 0.0001 or 0.01%.